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Is there a way to derive range interval for a complicated expression based on the bounds of parameters?

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Luna Moon

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Jul 23, 2008, 10:30:29 AM7/23/08
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Hi,

Is there a way to derive range interval for a complicated expression
based on the bounds of parameters?

Let's say I have a function f(a, b, c, d, e, f, g, h, i, j, k) where a
is the variable and b, c, d, e, f, g, h, i, j, k are parameters.

I give each parameter a interval with lower and upper bound, for
example, b is in [b_lo, b_hi], etc.

Is there a way to derive the range of the function f based on these
bounds of parameters and bounds of variables?

Thanks!

A N Niel

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Jul 23, 2008, 11:34:38 AM7/23/08
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In article
<a7bc4000-8e0b-4bd1...@l42g2000hsc.googlegroups.com>,
Luna Moon <lunamo...@gmail.com> wrote:

search "Interval Arithmetic"

Helmut Jarausch

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Jul 24, 2008, 10:17:21 AM7/24/08
to Luna Moon

You might have a look at

http://www.math.uni-wuppertal.de/org/WRST/software/intpakX/d_l_c.html

and more ambitious

http://www-sop.inria.fr/coprin/logiciels/ALIAS/ALIAS-Maple/ALIAS-Maple.html

--
Helmut Jarausch

Lehrstuhl fuer Numerische Mathematik
RWTH - Aachen University
D 52056 Aachen, Germany

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